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Group rings with solvable unit groups

Group rings with solvable unit groups
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Group rings with nilpotent unit groups

Group rings with nilpotent unit groups
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Unit Groups of Commutative Group Rings

Communications in Algebra, 2006
Let \(R\) be a unitary commutative ring and let \(G\) be an Abelian group. In the first part of the paper the authors assume that \(R\) is indecomposable and \(G\) is finite of order invertible in \(R\). They announce a result which describes the decomposition of the group ring \(RG\) into a direct sum of ring extensions of \(R\), in terms of the ...
T. Mollov, Nako A. Nachev
semanticscholar   +3 more sources

Unit groups of group algebras of groups of order 18

, 2021
There are five non-isomorphic groups of order 18. Of these two groups are abelian and the rest are non-abelian. In this article, we give the structures of the unit groups of the finite group algebras of all groups of order 18, i.e., and where F is a ...
M. Sahai, S. F. Ansari
semanticscholar   +1 more source